3 Answered Questions for the topic Stokes' Theorem

09/25/19

Stokes' Theorem and Cylindrical Coordinates

For a function B=z i − 3x j + 2z k prove the Stokes’ theorem over the circle x2+y2=1 acting as a base of the upside-down paraboloid z = 1 − x2 − y2, z ≥ 0.Hint: convert this function... more
Stokes' Theorem Pi

04/13/13

Use Stokes' Theorem to evaluate the surface integral?

Use Stokes' Theorem to evaluate the surface integral where F=<zx^2, z(e^xy^2)-x, x*ln (y^2)> and where S is the portion of z=1-x^2-y^2 above the xy-plane with n upward. Answer:... more
Stokes' Theorem

04/09/13

Use Stokes' Theorem to evaluate the line integral?

Use Stokes' Theorem to evaluate the line integral where F=<(x^2)(e^x)-y, sqrt(y^2+1), z^3> and where C is the boundary of the portion of z=4-x^2-y^2 above the xy-plane. The curl is <0, 0,... more

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